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      Question

      Train β€˜A’ running with a speed of 108 km/hr can

      cross a standing goods train of 4 times its length in 30 seconds. Find the time taken by 300 metres long train β€˜B’ which is coming from opposite direction of train β€˜A’, with a speed of 30 m/s, to cross train β€˜A’.
      A 10 seconds Correct Answer Incorrect Answer
      B 5 seconds Correct Answer Incorrect Answer
      C 8 seconds Correct Answer Incorrect Answer
      D 7 seconds Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length of train β€˜A’ be β€˜x’ metres Therefore, length of the goods train = β€˜4x’ metres Speed of train β€˜A’ = 108 Γ— (5/18) = 30 m/s According to the question, 4x + x = 30 Γ— 30 => 5x = 900 => x = 180 Therefore, time taken by train β€˜B’ to cross train β€˜A’ = {(180 + 300)/(30 + 30)} = 8 seconds

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